Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation

TIAN Li-xin; XU Bo-qiang; LIU Zeng-rong

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(10): 1013-1024

TIAN Li-xin, XU Bo-qiang, LIU Zeng-rong. Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1013-1024.

Citation:

TIAN Li-xin, XU Bo-qiang, LIU Zeng-rong. Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1013-1024.

Citation:

TIAN Li-xin, XU Bo-qiang, LIU Zeng-rong. Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1013-1024.

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Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation

1.
Faculty of Science, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212013, P R China;
2.
Department of Mathematics, Shanghai University, Shanghai 200018, P R China

Received Date: 2001-10-09
Rev Recd Date: 2002-05-09
Publish Date: 2002-10-15

Abstract

Abstract

The existence of approximate inertial manifold using wavelet to Burgers. equation,and numerical solution under multiresolution analysis with the low modes were studied. It is shown that the Burgers. equation has a good localization property of the numerical solution distinguishably.
- wavelet,
- wavelet approximate inertial manifold(WAIM),
- wavelet Galerkin solution,
- infinite dimensional dynamic system

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References(7)

References

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